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@OP:
Unless this is just a mock-up, though, I don't quite see the point. One chest of coal is a LOT of coal. Since it's not unloading onto belts and the chests aren't logistics chests, they're there purely for you to pick up on the go, and you should never need to pick up a wagon's load of coal, let alone 18 steel chests worth.
As to the circuit question, sorry I can't contribute. I do NOT touch circuitry in my games. I usually just brute-force things with trains and balance their contents using belt balancers.
It could work without any circuitry. Just let the wagon inter exchange all the time and the content will eventually get into the chests.
You can also just check if the set of chest is full and output on the belt without checking if the other set of chests is not full.
Or just fill as needed until a wagon stops unloading then send the remaining items to the other side?
Of course I can build a belt balancer but I like the circuits in factorio and especially this kind of uncommon solutions.
My main problem with the arithmatic decider is this -> already in the first step :) (Wiki:
The internal logic process has three steps:
1) "All input signals on the red and green wires are summed within the combinator."
That makes I can't use them for this situation. (Or atleast I don't see how)
If there is an easier (circuit) approach I can probably add a third wagon in the end. But for now I think it will be a little to much ;)
No both at the same time (9 chest left is one block the other block are the 9 chests right). So when both sides of the chests have space the inserters below (yellow) don't do anything.
If you only want to start moving items between the train cars if the chests are completely full then you will require 4 extra decider combinators:
One hooked up to the left chests, set to output A=1 if the coal chests are full.
The other is hooked up to the output of the arithmetic combinator and set to output A=1 if coal<0. Connect both outputs to the inserter, and set the inserter to activate when A=2.
The other side works the same except it's coal>0.
(If you want to save a bit of power you can also do it with two deciders and 3 constant combinators)
I don't know what you are trying to say here but you are wrong; you can use negative numbers.
https://www.reddit.com/r/factorio/comments/4e03g2/madzuris_smart_loading_train_station_guide/
The pic in the thread should explain all the wiring, in the arithmetic combinator always divide by the negative amount of chests, and in the inserters the condition should be smaller than the inserter stack size
As long as you set the train's condition at the stop to empty cargo it should stay at the stop until the very last bit of material is in one of the chests, in an inserter's hand, or on the circular belt.
If it isn't perfectly balanced at that time it will only be off by a tiny bit and that situation will only last until the next train arrives.
You could even use the set up on a train with more than 2 cargo wagons. Just make a circular belt loop with standard (yellow) belts that runs the entire length of the train and use 3 standard inserters on one end of the wagon to unload on to the belt and 3 long inserters to take off the other side of the belt and put back in the wagon. When you pull up, the stack inserters will move things into the chests quickly while the rest of the material starts playing ring around the rosey. It will eventually balance to almost perfect equilibrium until all the wagons are completely empty at which time the train will leave the station. That is of course taking into consideration that you will have to saturate the total number of chests used for storage to x- one full train load. At that point this set up should give you near perfect equilibrium and before you reach that state it should still be relatively balanced due to the inserters unloading the cars at nearly the same speed.
0 circuits and 0 wires
You could use a car or tank instead of the wagons for the same effect
But I want wires :) . And in your solution the inserters between the wagons are moving. Thats not esthetic ;) . My solution in the first post works and the yellow inserters are only activated when when needed. But at the price of 6 combinators which makes adding an extra wagon almost impossible (I think).
But with the madzuri's solution only one arithmatic combinator is needed!
It does not magically balance belts after unloading which is what you seem to be trying to do.